Semi-stability of the tangent sheaf of singular varieties

Henri Guenancia

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arXiv · 1502.03711

Semi-stability of the tangent sheaf of singular varieties

Henri Guenancia

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Abstract

The main goal of this paper is to prove the polystability of the logarithmic tangent sheaf $\mathscr T_X(-D)$ of a log canonical pair $(X,D)$ whose canonical bundle $K_X+D$ is ample, generalizing in a significant way a theorem of Enoki. We apply this result and the techniques involved in its proof to get a version of this theorem for stable varieties (the higher dimensional analogue of Deligne-Mumford's stable curves) and to prove the polystability with respect to any polarization of the tangent sheaf of a singular Calabi-Yau variety.

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BibTeX RIS

Henri Guenancia. 2015-02-12. Semi-stability of the tangent sheaf of singular varieties. https://arxiv.org/abs/1502.03711

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